带跳随机时滞Hopfield神经网络数值解的稳定性

Stability of numerical solutions to stochastic delay Hopfield neural networks with jumps

研究了一类带有泊松跳的随机时滞Hopfield神经网络问题欧拉数值解的均方稳定性.首先证明了这类问题分析解的指数稳定性;在保证分析解指数稳定的前提下,证明了欧拉方法得到的数值解的均方稳定性,并通过实例对结论进行了验证.

The MS-stability of Euler method for a class of stochastic delay Hopfield neural networks with poisson jumps was considered. First,its exponential stability was proved,then under the conditions which guarantee the exponential stability of analytical solution, the Euler scheme was proved to be MS-stable. An example was given for illustration.